Solve for m -2m-5n=7m-3n

$- 2 m - 5 n = 7 m - 3 n$

Move all terms containing $m$ to the left side of the equation.

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Subtract $7 m$ from both sides of the equation.

$- 2 m - 5 n - 7 m = - 3 n$

Subtract $7 m$ from $- 2 m$ .

$- 9 m - 5 n = - 3 n$

Move all terms not containing $m$ to the right side of the equation.

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Add $5 n$ to both sides of the equation.

$- 9 m = - 3 n + 5 n$

Add $- 3 n$ and $5 n$ .

$- 9 m = 2 n$

Divide each term in $- 9 m = 2 n$ by $- 9$ and simplify.

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Divide each term in $- 9 m = 2 n$ by $- 9$ .

$\frac{- 9 m}{- 9} = \frac{2 n}{- 9}$

Simplify the left side.

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Cancel the common factor of $- 9$ .

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Cancel the common factor.

$\frac{- 9 m}{- 9} = \frac{2 n}{- 9}$

Divide $m$ by $1$ .

$m = \frac{2 n}{- 9}$

Simplify the right side.

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Move the negative in front of the fraction.

$m = - \frac{2 n}{9}$